Let's divide 820564 by 13
We're looking to find how many times 13 goes into 820564.

Step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 13

Moving on to step 2:
When dividing 82 by 13, we get 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 4 after subtracting 78 from 82.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 13

Going ahead to step 3:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 63.0
The remainder is 1 after subtracting 39 from 40.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 13

Let's proceed to step 4:
13 can be fit into 15 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 631.0
If we take 13 away from 15, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 13

Going ahead to step 5:
When dividing 26 by 13, we get 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 6312.0
Subtract 26 from 26 to get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 13

Let's proceed to step 6:
If we divide 4 by 13, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 63120.0
Subtracting 0 from 4 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 63120.3
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 63120.3
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 63120.307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 63120.3076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 63120.30769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 63120.307692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 63120.3076923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
13 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 63120.3076923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 63120.3076923 with a remaining 1e-08.